A six sided die is rolled 4 times. A success is when the die displays the value of 2.

a: List the values that the random variable, X, can take on for this experiment. (These are the values that you would put in the row or column for X in a probability distribution table.) Separate values with a comma.

b: This experiment will result in a binomial distribution. Identify each value we would need to calculate the probabilities. Round values for p and q to 3 decimal places, as needed.

n =

p =

q =

c: When finding the probabilities for this distribution, we know that each probability must be between a value of and . Also, their sum should be equal to .